38933 has 2 divisors, whose sum is σ = 38934. Its totient is φ = 38932.

The previous prime is 38923. The next prime is 38953. The reversal of 38933 is 33983.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20164 + 18769 = 142^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 38933 - 2⁴ = 38917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38933.

It is not a weakly prime, because it can be changed into another prime (38903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19466 + 19467.

It is an arithmetic number, because the mean of its divisors is an integer number (19467).

2³⁸⁹³³ is an apocalyptic number.

It is an amenable number.

38933 is a deficient number, since it is larger than the sum of its proper divisors (1).

38933 is an equidigital number, since it uses as much as digits as its factorization.

38933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

The square root of 38933 is about 197.3144698191. The cubic root of 38933 is about 33.8926835410.

Subtracting from 38933 its reverse (33983), we obtain a triangular number (4950 = T₉₉).

The spelling of 38933 in words is "thirty-eight thousand, nine hundred thirty-three".